Stability balloon  for two-dimensional  vortex ripple  patterns

J. L. Hansen; M. v. Hecke; C. Ellegaard; Ken Haste Andersen; Tomas Bohr; A. Haaning; Thomas Sams

doi:10.1103/PhysRevLett.87.204301

Stability balloon for two-dimensional vortex ripple patterns

J. L. Hansen, M. v. Hecke, C. Ellegaard, Ken Haste Andersen, Tomas Bohr, A. Haaning, Thomas Sams

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Abstract

Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A sufficient decrease of f leads to a "freezing" of the pattern, while a sufficient increase of f leads to a supercritical secondary "pearling" instability. Sufficient changes in the amplitude a lead to subcritical secondary "doubling" and "bulging" instabilities. Our findings are summarized in a "stability balloon" for vortex ripple pattern formation.

Original language	English
Journal	Physical Review Letters
Volume	87
Issue number	20
Pages (from-to)	204301
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.87.204301
Publication status	Published - 2001
Externally published	Yes

Bibliographical note

Copyright (2001) American Physical Society

Keywords

Water
Sand ripples
Waves
Dynamics

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10.1103/PhysRevLett.87.204301

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http://link.aps.org/doi/10.1103/PhysRevLett.87.204301

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Cite this

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title = "Stability balloon for two-dimensional vortex ripple patterns",

abstract = "Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A sufficient decrease of f leads to a {"}freezing{"} of the pattern, while a sufficient increase of f leads to a supercritical secondary {"}pearling{"} instability. Sufficient changes in the amplitude a lead to subcritical secondary {"}doubling{"} and {"}bulging{"} instabilities. Our findings are summarized in a {"}stability balloon{"} for vortex ripple pattern formation.",

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T1 - Stability balloon for two-dimensional vortex ripple patterns

AU - Hansen, J. L.

AU - v. Hecke, M.

AU - Ellegaard, C.

AU - Andersen, Ken Haste

AU - Bohr, Tomas

AU - Haaning, A.

AU - Sams, Thomas

PY - 2001

Y1 - 2001

N2 - Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A sufficient decrease of f leads to a "freezing" of the pattern, while a sufficient increase of f leads to a supercritical secondary "pearling" instability. Sufficient changes in the amplitude a lead to subcritical secondary "doubling" and "bulging" instabilities. Our findings are summarized in a "stability balloon" for vortex ripple pattern formation.

AB - Patterns of vortex ripples form when a sand bed is subjected to an oscillatory fluid flow. Here we describe experiments on the response of regular vortex ripple patterns to sudden changes of the driving amplitude a or frequency f. A sufficient decrease of f leads to a "freezing" of the pattern, while a sufficient increase of f leads to a supercritical secondary "pearling" instability. Sufficient changes in the amplitude a lead to subcritical secondary "doubling" and "bulging" instabilities. Our findings are summarized in a "stability balloon" for vortex ripple pattern formation.

KW - Water

KW - Sand ripples

KW - Waves

KW - Dynamics

U2 - 10.1103/PhysRevLett.87.204301

DO - 10.1103/PhysRevLett.87.204301

M3 - Journal article

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JF - Physical Review Letters

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